Cambridge International Mathematics

ef

2 Find a single vector which is equal to:

a

¡!

QR+

¡!

RS b

¡!

PQ+

¡!

QR

c

¡!

PS+

¡!

SR+

¡!

RQ d

¡!

PR+

¡!

RQ+

¡!

QS

3 Paolo rides for 20 km in the direction 310 oand then for 15 km in the direction 040 o. Find Paolo’s

displacement from his starting point.

4 Consider an aeroplane trying to fly at 500 km/h due north. Find the actual speed and direction of the

aeroplane if a gale of 100 km/h is blowing:

a from the south b from the north c from the west.

5 A ship travelling at 23 knots on a course 124 oencounters a current of 4 knots in the direction 214 o.

Find the actual speed and direction of the ship.

VECTOR SUBTRACTION

To subtract one vector from another, we simplyadd its negative. a¡b=a+(¡b)

For example:

for and then

Example 5 Self Tutor

Find s¡t given:

D VECTOR SUBTRACTION [5.2]

p

q p q

Q

R

P S

and

a

b

a

ab-

b

• b

s t

t

s

• t

s-t

Vectors (Chapter 24) 489

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Y:\HAESE\IGCSE01\IG01_24\489IGCSE01_24.CDR Monday, 27 October 2008 2:26:46 PM PETER